Cups per second (cup/s) to Cubic Decimeters per second (dm3/s) conversion

Cups per second to Cubic Decimeters per second conversion table

Cups per second (cup/s)Cubic Decimeters per second (dm3/s)
00
10.2365882365129
20.4731764730258
30.7097647095387
40.9463529460516
51.1829411825645
61.4195294190774
71.6561176555903
81.8927058921032
92.1292941286161
102.3658823651289
204.7317647302579
307.0976470953868
409.4635294605158
5011.829411825645
6014.195294190774
7016.561176555903
8018.927058921032
9021.292941286161
10023.658823651289
1000236.58823651289

How to convert Cups per second to Cubic Decimeters per second

1 Cups per second (cup/s) is equal to 0.2365882365129 Cubic Decimeters per second (dm3/s).

1 cup/s = 0.2365882365129 dm3/s
or
1 dm3/s = 4.2267528375 cup/s

What is cups per second?

Cups per second is a unit of measure for volume flow rate, indicating the amount of volume that passes through a cross-sectional area per unit of time. It's a measure of how quickly something is flowing.

Understanding Cups per Second

Cups per second (cups/s) is a unit used to quantify the volume of a substance that passes through a specific point or area in one second. It's part of a broader family of volume flow rate units, which also includes liters per second, gallons per minute, and cubic meters per hour.

How is it Formed?

Cups per second is derived by dividing a volume measurement (in cups) by a time measurement (in seconds).

  • Volume: A cup is a unit of volume. In the US customary system, a cup is equal to 8 fluid ounces.
  • Time: A second is the base unit of time in the International System of Units (SI).

Therefore, 1 cup/s means that one cup of a substance flows past a certain point in one second.

Calculating Volume Flow Rate

The general formula for volume flow rate (QQ) is:

Q=VtQ = \frac{V}{t}

Where:

  • QQ is the volume flow rate.
  • VV is the volume of the substance.
  • tt is the time it takes for that volume to flow.

Conversions

  • 1 US cup = 236.588 milliliters (mL)
  • 1 cup/s = 0.236588 liters per second (L/s)

Real-World Examples and Applications

While cups per second might not be a standard industrial measurement, it can be useful for illustrating flow rates in relatable terms:

  • Pouring Beverages: Imagine a bartender quickly pouring a drink. They might pour approximately 1 cup of liquid in 1 second, equating to a flow rate of 1 cup/s.
  • Small-Scale Liquid Dispensing: A machine dispensing precise amounts of liquid, such as in a pharmaceutical or food production setting, could operate at a rate expressible in cups per second. For instance, filling small medicine cups or condiment portions.
  • Estimating Water Flow: If you are filling a container, you can use cups per second to measure how fast you are filling that container. For example, you can use it to calculate how long it takes for the water to drain from a sink.

Historical Context and Notable Figures

There isn't a specific law or famous figure directly associated with cups per second as a unit. However, the broader study of fluid dynamics has roots in the work of scientists and engineers like:

  • Archimedes: Known for his work on buoyancy and fluid displacement.
  • Daniel Bernoulli: Developed Bernoulli's principle, which relates fluid speed to pressure.
  • Osborne Reynolds: Famous for the Reynolds number, which helps predict flow patterns in fluids.

Practical Implications

Understanding volume flow rate is crucial in various fields:

  • Engineering: Designing pipelines, irrigation systems, and hydraulic systems.
  • Medicine: Measuring blood flow in arteries and veins.
  • Environmental Science: Assessing river discharge and pollution dispersion.

What is Cubic Decimeters per second?

This document explains cubic decimeters per second, a unit of volume flow rate. It will cover the definition, formula, formation, real-world examples and related interesting facts.

Definition of Cubic Decimeters per Second

Cubic decimeters per second (dm3/sdm^3/s) is a unit of volume flow rate in the International System of Units (SI). It represents the volume of fluid (liquid or gas) that passes through a given cross-sectional area per second, where the volume is measured in cubic decimeters. One cubic decimeter is equal to one liter.

Formation and Formula

The unit is formed by dividing a volume measurement (cubic decimeters) by a time measurement (seconds). The formula for volume flow rate (QQ) can be expressed as:

Q=VtQ = \frac{V}{t}

Where:

  • QQ is the volume flow rate (dm3/sdm^3/s)
  • VV is the volume (dm3dm^3)
  • tt is the time (s)

An alternative form of the equation is:

Q=Aā‹…vQ = A \cdot v

Where:

  • QQ is the volume flow rate (dm3/sdm^3/s)
  • AA is the cross-sectional area (dm2dm^2)
  • vv is the average velocity of the flow (dm/sdm/s)

Conversion

Here are some useful conversions:

  • 1dm3s=0.001m3s1 \frac{dm^3}{s} = 0.001 \frac{m^3}{s}
  • 1dm3s=1Ls1 \frac{dm^3}{s} = 1 \frac{L}{s} (Liters per second)
  • 1dm3sā‰ˆ0.0353ft3s1 \frac{dm^3}{s} \approx 0.0353 \frac{ft^3}{s} (Cubic feet per second)

Real-World Examples

  • Water Flow in Pipes: A small household water pipe might have a flow rate of 0.1 to 1 dm3/sdm^3/s when a tap is opened.
  • Medical Infusion: An intravenous (IV) drip might deliver fluid at a rate of around 0.001 to 0.01 dm3/sdm^3/s.
  • Small Pumps: Small water pumps used in aquariums or fountains might have flow rates of 0.05 to 0.5 dm3/sdm^3/s.
  • Industrial Processes: Some chemical processes or cooling systems might involve flow rates of several dm3/sdm^3/s.

Interesting Facts

  • The concept of flow rate is fundamental in fluid mechanics and is used extensively in engineering, physics, and chemistry.
  • While no specific law is directly named after "cubic decimeters per second," the principles governing fluid flow are described by various laws and equations, such as the continuity equation and Bernoulli's equation. These are explored in detail in fluid dynamics.

For a better understanding of flow rate, you can refer to resources like Khan Academy's Fluid Mechanics section.

Complete Cups per second conversion table

Enter # of Cups per second
Convert 1 cup/s to other unitsResult
Cups per second to Cubic Millimeters per second (cup/s to mm3/s)236588.2365129
Cups per second to Cubic Centimeters per second (cup/s to cm3/s)236.58823651289
Cups per second to Cubic Decimeters per second (cup/s to dm3/s)0.2365882365129
Cups per second to Cubic Decimeters per minute (cup/s to dm3/min)14.195294190774
Cups per second to Cubic Decimeters per hour (cup/s to dm3/h)851.71765144642
Cups per second to Cubic Decimeters per day (cup/s to dm3/d)20441.223634714
Cups per second to Cubic Decimeters per year (cup/s to dm3/a)7466156.9325793
Cups per second to Millilitres per second (cup/s to ml/s)236.58823651289
Cups per second to Centilitres per second (cup/s to cl/s)23.658823651289
Cups per second to Decilitres per second (cup/s to dl/s)2.3658823651289
Cups per second to Litres per second (cup/s to l/s)0.2365882365129
Cups per second to Litres per minute (cup/s to l/min)14.195294190774
Cups per second to Litres per hour (cup/s to l/h)851.71765144642
Cups per second to Litres per day (cup/s to l/d)20441.223634714
Cups per second to Litres per year (cup/s to l/a)7466156.9325793
Cups per second to Kilolitres per second (cup/s to kl/s)0.0002365882365129
Cups per second to Kilolitres per minute (cup/s to kl/min)0.01419529419077
Cups per second to Kilolitres per hour (cup/s to kl/h)0.8517176514464
Cups per second to Cubic meters per second (cup/s to m3/s)0.0002365882365129
Cups per second to Cubic meters per minute (cup/s to m3/min)0.01419529419077
Cups per second to Cubic meters per hour (cup/s to m3/h)0.8517176514464
Cups per second to Cubic meters per day (cup/s to m3/d)20.441223634714
Cups per second to Cubic meters per year (cup/s to m3/a)7466.1569325793
Cups per second to Cubic kilometers per second (cup/s to km3/s)2.3658823651289e-13
Cups per second to Teaspoons per second (cup/s to tsp/s)48
Cups per second to Tablespoons per second (cup/s to Tbs/s)16
Cups per second to Cubic inches per second (cup/s to in3/s)14.437566548158
Cups per second to Cubic inches per minute (cup/s to in3/min)866.2539928895
Cups per second to Cubic inches per hour (cup/s to in3/h)51975.23957337
Cups per second to Fluid Ounces per second (cup/s to fl-oz/s)8
Cups per second to Fluid Ounces per minute (cup/s to fl-oz/min)480
Cups per second to Fluid Ounces per hour (cup/s to fl-oz/h)28800
Cups per second to Pints per second (cup/s to pnt/s)0.5
Cups per second to Pints per minute (cup/s to pnt/min)30
Cups per second to Pints per hour (cup/s to pnt/h)1800
Cups per second to Quarts per second (cup/s to qt/s)0.25
Cups per second to Gallons per second (cup/s to gal/s)0.0625
Cups per second to Gallons per minute (cup/s to gal/min)3.75
Cups per second to Gallons per hour (cup/s to gal/h)225
Cups per second to Cubic feet per second (cup/s to ft3/s)0.008355039028476
Cups per second to Cubic feet per minute (cup/s to ft3/min)0.5013023417086
Cups per second to Cubic feet per hour (cup/s to ft3/h)30.078140502514
Cups per second to Cubic yards per second (cup/s to yd3/s)0.0003094454350996
Cups per second to Cubic yards per minute (cup/s to yd3/min)0.01856672610598
Cups per second to Cubic yards per hour (cup/s to yd3/h)1.1140035663586

Volume flow rate conversions